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Finding the Fourth Proportional to 579.74, 869.72 and 319.63

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Solution

The fourth proportional to 579.74, 869.72 and 319.63 is: 479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.74 : 869.72 = 319.63 : x
  2. Step 2: Convert to fraction form
    579.74/869.72 = 319.63/x
  3. Step 3: Cross multiply
    579.74x = 869.72 × 319.63
  4. Step 4: Simplify right side
    579.74x = 277,988.09
  5. Step 5: Solve for x
    x = 277,988.09/579.74
  6. Step 6: Final answer
    x = 479.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.